- #1
dilan
- 72
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I really find in difficult to solve the second part of these type of questions,
Here are two questions of them
Question number 1
Resolve into partial fractions
1+x/(1+2x)^2(1-x)
For what range of values of "x" can this function be expanded as a series in ascending powers of "x"? Write down the coefficients of "x^n" in this expansion.
Question number 2
Resolve into partial fractions
2/(1-2x)^2(1+4x^2)
And hence obtain the coefficients of "x^4n" and "x^4n+1" in the expansion of this function in ascending powers of "x". State the range of values of "x" for which the expansion is valid
Ok these are the two types that I want to show. Resolving to partial fractions is not a difficult task for me. But the problem here is that I can't understand the second part where they ask for coefficients of "x^n" and the range of "x" for which the expansion is valid and so on. I really can't understrand the second part of these type of questions.
I just want to ask is there anyone who can provide me some links to learn how to solve these type of questions. I just need to get this very clear into my mind.
So please is there anyone who can help me to learn about the second part of this question.
Thanks alot. I really appreciate if anyone can help me.
Thanks again.
Dilan
Here are two questions of them
Question number 1
Resolve into partial fractions
1+x/(1+2x)^2(1-x)
For what range of values of "x" can this function be expanded as a series in ascending powers of "x"? Write down the coefficients of "x^n" in this expansion.
Question number 2
Resolve into partial fractions
2/(1-2x)^2(1+4x^2)
And hence obtain the coefficients of "x^4n" and "x^4n+1" in the expansion of this function in ascending powers of "x". State the range of values of "x" for which the expansion is valid
Ok these are the two types that I want to show. Resolving to partial fractions is not a difficult task for me. But the problem here is that I can't understand the second part where they ask for coefficients of "x^n" and the range of "x" for which the expansion is valid and so on. I really can't understrand the second part of these type of questions.
I just want to ask is there anyone who can provide me some links to learn how to solve these type of questions. I just need to get this very clear into my mind.
So please is there anyone who can help me to learn about the second part of this question.
Thanks alot. I really appreciate if anyone can help me.
Thanks again.
Dilan